
which corresponds to Eq. (24) in [1]} with a difference that it incorporates the effects of curvature emendations denoted by \(f_R\)  and \(\vartheta _1\) .
We denote, for simplicity, the dissipative factor as \(\Psi _{diss}\)
\(\nonumber \Psi _{diss}=-\frac{4\pi }{Bf_R}\left(q(2A-\frac{A\hat{R}^{\prime }}{\hat{R}})+Aq^{\prime }\right).\) 
